Strongly nonlinear \(p(x)\)-elliptic problems with \(L^1\)-data (Q2516264)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly nonlinear \(p(x)\)-elliptic problems with \(L^1\)-data |
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Strongly nonlinear \(p(x)\)-elliptic problems with \(L^1\)-data (English)
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12 August 2015
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The authors study the quasilinear \(p(x)\)-elliptic equation \(Au+g(x,u,\nabla u)=f\), where \(A\) is a Leray-Lions operator, \(g(x,s,\xi)\) is a nonlinear term. Using the approximation method, the existence of at least one distributional solution is proved.
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Lebesgue and Sobolev spaces with variable exponents
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truncations
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strongly nonlinear \(p(x)\)-elliptic problems
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solution in the sense of distributions
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